HW #4, Due Sep. 21

1. HW #4, Due Sep. 21 Ch. 2: P28, PH8, PH16 Ch. 3: P3, P5

2. Lecture 9 (chapter 3 continued) • Quick Review: • Reflection from Curved Mirrors (Convex Mirrors) • The ray rules • This Lecture: • Ray rules for concave mirrors • Finding the image • Lenses

3. Chapter 3Mirrors and Lenses Read 3.1, 3.2, 3.3 (A, B, C* , D), 3.4, 3.5** * Anamorphic Art ** Aberrations

4. Flat mirror revisited virtual image Read Text about the Kaleidoscope

5. Spherical Mirrors Where is the image? What is the field of view? Ray Tracing (simply apply the law of reflection)

6. Reflection in Curved Mirrors Convex and Concave Mirrors

7. F focal point axis O C center Paraxial Rays: Rays that are close to the axis

8. Ray Rules for a Convex Mirror Ray Rule 1: All rays incident parallel to the axis are reflected so that they appear to be coming form the the focal point, F. Ray Rule 2: All rays that (when extended) pass through center C are reflected back to themselves. Ray Rule 3: All rays that (when extended) pass through F are reflected back parallel to the axis.

9. 3 1 O C F O C F 2 O C F

10. Locating the Image Mirrors *Concave Mirrors http://www.techxhome.com/lightsite/optics/mirrors/sphereMirror.html *Concave Lens: virtual image *Convex Mirrors http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html spherical aberration

12. M. C. Escher, “Hand with Reflecting Globe” Fig 3.9

13. Concave Mirror axis O C F center focal point

14. Ray Rules for a Concave Mirror Ray Rule 1: All rays incident parallel to the axis are reflected so that they appear to be coming form the the focal point, F. Ray Rule 2: All rays that (when extended) pass through center C are reflected back to themselves. Ray Rule 3: All rays that (when extended) pass through F are reflected back parallel to the axis.

15. *Concave Mirrors http://www.techxhome.com/lightsite/optics/mirrors/sphereMirror.html

16. Spherical Lenses

17. Refraction at Curved Surfaces R I axis O C center n2 n1 Simply apply the laws of refraction

18. I R axis O C center n2 n1

19. Thin Spherical Lenses Converging Lens: focal length (f) is positive

20. Thin Spherical Lenses Converging Lens: focal length (f) is negative

21. Ray Rules for Converging (and Diverging) Lenses Ray Rule 1: All rays incident parallel to the axis are deflected through F’ (or as if it came from F’) Ray Rule 2: All rays passing through the center of the lens Continue undeviated. Ray Rule 3: All rays that (when extended, if necessary) pass through F are deflected parallel to the axis.

22. Example: Ray Rules for a converging lens | | F F’ | | F F’ | | F F’ f f= focal length

23. *Magnification (Magnifying Glass) http://microscopy.fsu.edu/primer/java/microscopy/simplemagnification/index.html * Lens Action (Many Applets) http://microscopy.fsu.edu/primer/lightandcolor/javalens.html http://www.techxhome.com/lightsite/optics/lenses/principleRays.html principle rays *Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm

24. Fresnel Lenses

25. Lens Aberrations Chromatic *Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html spherical aberration

26. Spherical Aberration

27. *Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html spherical aberrationv

28. Curvature, Coma

29. Astigmatism

30. Distortion

31. *Thick Lens (Spherical Aberration) http://www.cbu.edu/%7Ejvarrian/applets/lens3/thickl_z.htm http://www.techxhome.com/lightsite/optics/mirrors/mirrorAberr.html spherical aberration